Question

glenda checks the computer monitors made at her company for defects. it has been shown that 0.5% of the monitors are defective. she decides to check several monitors and record if they are defective. which of the following will make this process into a binomial experiment?

• glenda checks the monitors until she has 300 defective monitors.
• glenda checks 300 monitors and records the number that are defective until she gets greater than 0.5% defective monitors.
• glenda checks the monitors until she has 300 non - defective monitors.
• glenda choosing to check 300 monitors.

Explanation:

A binomial experiment requires a fixed number of independent trials, each with two outcomes (success/failure) and constant probability. Let's analyze each option:

• Option 1: Checking until 300 defective monitors means the number of trials is not fixed (depends on when 300 defectives are found), so not binomial.
• Option 2: Checking 300 monitors but stopping early if a condition is met means the number of trials isn't fixed (might stop before 300), so not binomial.
• Option 3: Checking until 300 non - defective monitors means the number of trials is not fixed (depends on when 300 non - defectives are found), so not binomial.
• Option 4: Choosing to check 300 monitors means a fixed number of trials (n = 300). Each monitor check is an independent trial (assuming independence in production), with two outcomes (defective or not) and the probability of defective (0.5%) is constant. So this satisfies the binomial experiment conditions.

Answer:

D. Glenda choosing to check 300 monitors. (Assuming the last option is labeled D, if the original labels were different, adjust the label. Since the last option is "Glenda choosing to check 300 monitors", this is the correct one.)